Where do I put my new Cymbidium?

[Sylorna]

Hi there!
I just got a few new orchids to start up my collection once again (birthday present).
One of them is a Cymbidium, but I don't know what kind...that's all the tag said. I can tell you it's of the larger variety.
I'm having some problems with the things I've read about them though...mostly their temperatures. I'm currently in zone 6a (wow! What a move from 4b where I used to be!) and I don't know how to provide the temps it needs.
I live in an apartment on the main floor, which means I get lots of indirect sunlight. I don't want to put it outside on my deck right now, as it's in flower and I don't want it stolen, but it is a possibility once it finishes (because it'll just look like a tropical plant at that point).
I have another window which gets more light, and I will have an air conditioner running in that room once it gets warm enough....but I also have a cat that likes to eat/dig up/generally destroy my plants and she has access to the same sill.

Any thoughts?